Alexandr Kolpakov (University of Fribourg)Hyperbolic polytopes and manifolds in dimensions beyond three

I will speak about the geometry and combinatorics of hyperbolic
polytopes and manifolds in dimension $n \geq 4$. I will give an overview
of dimension $n=4$. Then I will speak about higher dimensions, which
are less investigated by the moment. Finally I will concentrate on recent
results and open questions.